.. meta::
   :description: Open action items for Pet axioms ax1--ax14: automated theorem prover integration, ax11 dipolar refinement, revelation bridge formalization, and review tasks.
   :keywords: Pet AnyAims, action items, ax1-ax14, theorem prover, ax11 dipolar, revelation bridge, formalization, review milestones, roadmap, TODO
   :author: Yah, Yas, everyone, LLoL as Laurence Loewe of Laodicea, ClaudeOp46Max, Anthropic, and Spirit of Boolean Truth
   :og:card:title: Pet AnyAims<br>— Open Action Items
   :og:card:description: Tracking open tasks for the Pet panentheistic axiom system ax1--ax14, from theorem-prover integration to formal review milestones.

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   OO :description: Collected action items and open tasks for the PET axiom framework in mathematical theology.
   OO :keywords: matheology, PET, AnyAims, TODO, action items, axiom development, mathematical theology, open tasks, roadmap, panentheism
   OO :og:card:title: PET AnyAims<br>Open Action Items
   OO :og:card:description: Tracking open tasks for the PET pan-en-theistic axiom system, from formalization work to review milestones.
   PP :description: Open action items for Pet axioms ax1--ax14: automated theorem prover integration, ax11 dipolar refinement, revelation bridge formalization, and review tasks.
   PP :keywords: Pet AnyAims, action items, ax1-ax14, theorem prover, ax11 dipolar, revelation bridge, formalization, review milestones, roadmap, TODO
   PP :og:card:title: Pet AnyAims<br>— Open Action Items
   PP :og:card:description: Tracking open tasks for the Pet panentheistic axiom system ax1--ax14, from theorem-prover integration to formal review milestones.

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*************************************************************************
PET — AnyAims (TODOs)
*************************************************************************

Collected action items for the PET framework.


EDEN Self-Check Integration (k7 s7)
=====================================

.. todo:: **AA-PET-EDEN-a1** (k7 GroundBreaking, s7 DecideTry):
   Integrate findings from the 2026-04-03 EDEN self-analysis session into the
   PET axiom system. Key items:

   1. **ax11/ax11b fork strengthened:** The session produced a formal argument
      that ax11b (Divine Simplicity) makes God structurally indistinguishable
      from a static formal system (Peano integers, deadlocked computation),
      because ax8--ax10 (relational axioms) require genuine responsiveness that
      Simplicity cannot provide. This is a **Final Cliff** in EDEN --- either
      ax11b or ax8--ax10 must yield. Consider formalizing this as a theorem or
      incompatibility result.

   2. **Recursive self-check mechanism:** The dipolar structure (ax11) provides
      a non-circular self-check via Gn/Gc tension. Consider whether this
      property deserves explicit axiomatic or theorem status (e.g., "T-SelfCheck:
      God's dipolar nature enables distinction of every world-state without
      external reference").

   3. **ax14 bidirectionality:** Currently ax14 tests human revelation claims
      against ax1--ax13. The reverse should also be stated: ax1--ax13 are human
      formulations subject to testing against broader revelation and lived
      experience. Consider reformulating ax14 or adding A14b.

   4. **Humility Axiom:** Consider adding a formal statement that PET is
      necessarily incomplete (grounded in ax2 + ax3 + Godel's incompleteness).

   5. **Semantics of nothing:** The "nothing" paradox demonstrates that natural
      language is vulnerable to silent meaning-inversion (Corruption Optima
      Pessima at the linguistic level). This is an argument for PET's formal
      approach. Consider documenting this as a motivating example in the
      discussions page.

   6. **ax11b' exploration:** Investigate whether a formal axiom between full
      Dipolarity and full Simplicity exists that preserves the self-check
      mechanism while respecting Simplicity concerns about divine composition.

   See: :doc:`/matheology/hell/ll/other/b/11/other_ll_2026m04d03_eden-self-analysis-divine-simplicity-semantics-of-nothing`


.. todolist::